document.write( "Question 377832: A bag of peanuts is worth $0.28 less than the same size bag of cashews. Equal amounts of peanuts and cashews are used to make 45 bags of a mixture that sells for $1.25 per bag. How much is a bag of cashews worth? (Give your answer to the nearest cent.) \n" ); document.write( "

Algebra.Com's Answer #268459 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = price/bag of cashews
\n" ); document.write( "given:
\n" ); document.write( " $\"x+-+.28\"$ = price/bag of cashews
\n" ); document.write( "Equal amounts of peanuts and cashews are
\n" ); document.write( "used to make 45 bags of a mixture that sells for $1.25 per bag.
\n" ); document.write( "There must be $\"22.5\"$ bags of each, so
\n" ); document.write( " $\"22.5x+%2B+22.5%2A%28x+-+.28%29+=+45%2A1.25\"$
\n" ); document.write( "Divide both sides by $\"22.5\"$
\n" ); document.write( " $\"x+%2B+x+-+.28+=+2%2A1.25\"$
\n" ); document.write( " $\"2x+=+2.5+%2B+.28\"$
\n" ); document.write( " $\"2x+=+2.78\"$
\n" ); document.write( " $\"x+=+1.39\"$
\n" ); document.write( "A bag of cashews costs $1.39
\n" ); document.write( "check answer:
\n" ); document.write( " $\"22.5x+%2B+22.5%2A%28x+-+.28%29+=+45%2A1.25\"$
\n" ); document.write( " $\"22.5%2A1.39+%2B+22.5%2A%281.39+-+.28%29+=+45%2A1.25\"$
\n" ); document.write( " $\"31.275+%2B+22.5%2A1.11+=+56.25\"$
\n" ); document.write( " $\"31.275+%2B+24.975+=+56.25\"$
\n" ); document.write( " $\"56.25+=+56.25\"$ \n" ); document.write( "

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